EE263: Lecture Slides

Cover page and table of contents.

1. Overview (2up)
2. Linear functions (2up)
3. Linear algebra review (2up)
4. Orthonormal sets of vectors and QR factorization (2up)
5. Least-squares (2up)
6. Least-squares applications (2up)
7. Regularized least-squares and Gauss-Newton method (2up)
8. Least-norm solutions of underdetermined equations (2up)
9. Autonomous linear dynamical systems (2up)
10. Solution via Laplace transform and matrix exponential (2up)
11. Eigenvectors and diagonalization (2up)
12. Jordan canonical form (2up)
13. Linear dynamical systems with inputs and outputs (2up)
14. Example: Aircraft dynamics (2up)
15. Symmetric matrices, quadratic forms, matrix norm, and SVD (2up)
16. SVD applications (2up)
17. Example: Quantum mechanics (2up)
18. Controllability and state transfer (2up)
19. Observability and state estimation (2up)
20. Summary and final comments (2up)